English
Related papers

Related papers: Correction to "A Note on Gallager's Capacity Theor…

200 papers

A systematic semiclassical expansion of the hydrogen problem about the classical Kepler problem is shown to yield remarkably accurate results. Ad hoc changes of the centrifugal term, such as the standard Langer modification where the factor…

Quantum Physics · Physics 2009-10-31 Joachim Hainz , Hermann Grabert

We prove the equivalence of an arbitrary single-mode Gaussian quantum channel and a newly defined fiducial channel preceded by a phase shift and followed by a Gaussian unitary operation. This equivalence implies that the energy-constrained…

We show that the recent Comment by Liu and Wilczek (cond-mat/0304632) on our work (PRA 67, 053603) is incorrect.

Condensed Matter · Physics 2016-08-31 Shin-Tza Wu , Sungkit Yip

The coding theorem for the entanglement-assisted communication via infinite-dimensional quantum channel with linear constraint is extended to a natural degree of generality. Relations between the entanglement-assisted classical capacity and…

Mathematical Physics · Physics 2013-05-29 A. S. Holevo , M. E. Shirokov

We point out an essential gap in the proof of one of main results in \cite{M} and then give a corrected proof for it.

Commutative Algebra · Mathematics 2023-05-04 Dancheng Lu , Zexin Wang

Quantum communication channels differ from their classical counterparts because their capacities can be superadditive. The principle of monogamy of entanglement suggests that superadditive improvements in the transmission capacity of a…

Quantum Physics · Physics 2025-11-06 Satvik Singh , Sergii Strelchuk

We provide a counterexample to Cover's conjecture that the feedback capacity $C_\textrm{FB}$ of an additive Gaussian noise channel under power constraint $P$ be no greater than the nonfeedback capacity $C$ of the same channel under power…

Information Theory · Computer Science 2016-11-17 Young-Han Kim

In this correspondence we present a new proof of Holevo's coding theorem for transmitting classical information through quantum channels, and its strong converse. The technique is largely inspired by Wolfowitz's combinatorial approach using…

Quantum Physics · Physics 2014-09-10 Andreas Winter

We show that there exist Gaussian channels which are amendable. A channel is amendable if when applied twice is entanglement breaking while there exists a unitary filter such that, when interposed between the first and second action of the…

Quantum Physics · Physics 2013-07-16 A. De Pasquale , A. Mari , A. Porzio , V. Giovannetti

A recent method to certify the classical capacity of quantum communication channels is applied for general damping channels in finite dimension. The method compares the mutual information obtained by coding on the computational and a…

Quantum Physics · Physics 2020-10-23 Chiara Macchiavello , Massimiliano F. Sacchi , Tito Sacchi

We prove that the Gaussian broadcast channel with two destinations admits the strong converse property. This implies that for every sequence of block codes operated at a common rate pair with an asymptotic average error probability $<1$,…

Information Theory · Computer Science 2017-06-09 Silas L. Fong , Vincent Y. F. Tan

The recent study by Waclawczyk et al. [Phys. Rev. Fluids 6, 084610 (2021)] on conformal invariance in 2D turbulence is misleading as it makes three incorrect claims that form the core of their work. We will correct these claims and put them…

Fluid Dynamics · Physics 2021-12-06 Michael Frewer , George Khujadze

A discrete-time single-user scalar channel with temporally correlated Rayleigh fading is analyzed. There is no side information at the transmitter or the receiver. A simple expression is given for the capacity per unit energy, in the…

Information Theory · Computer Science 2007-07-16 Vignesh Sethuraman , Bruce Hajek

In this comment we point out numerous errors in the paper of Alhaidari cited in the title.

High Energy Physics - Theory · Physics 2008-11-26 Arvind Narayan Vaidya , Rafael de Lima Rodrigues

The general subject considered in this thesis is a recently discovered coding technique, polar coding, which is used to construct a class of error correction codes with unique properties. In his ground-breaking work, Ar{\i}kan proved that…

Information Theory · Computer Science 2014-12-16 Mine Alsan

For the class of mixed channels decomposed into stationary memoryless channels, single-letter characterizations of the $\varepsilon$-capacity have not been known except for restricted classes of channels such as the regular decomposable…

Information Theory · Computer Science 2014-07-02 Hideki Yagi , Ryo Nomura

We find a strong-converse bound on the private capacity of a quantum channel assisted by unlimited two-way classical communication. The bound is based on the max-relative entropy of entanglement and its proof uses a new inequality for the…

Quantum Physics · Physics 2017-07-04 Matthias Christandl , Alexander Müller-Hermes

We comment on the recent work [1], and on its relations with our papers [2,3] cited therein. In particular we show that, contrarily to what stated in [1], the Casimir energy density determined therein in the case of a single delta-like…

Quantum Physics · Physics 2023-03-06 Davide Fermi , Livio Pizzocchero

In this paper, we study, information theoretically, the impact of transmitter and or receiver cognition on the channel capacity. The cognition can be described by state information, dependent on the channel noise and or input. Specifically,…

Information Theory · Computer Science 2015-03-19 Nima S. Anzabi-Nezhad , Ghosheh Abed Hodtani , Mohammad Molavi Kakhki

Electromagnetic information theory (EIT) is an interdisciplinary subject that serves to integrate deterministic electromagnetic theory with stochastic Shannon's information theory. Existing EIT analysis operates in the continuous space…

Information Theory · Computer Science 2024-06-10 Jieao Zhu , Vincent Y. F. Tan , Linglong Dai